Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

14.0ms	(/ x (+ x 1.0))
90.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
12.0ms	(/ 1.0 (- x 1.0))

series219.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ x (+ x 1.0))
126.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
33.0ms	(/ 1.0 (- x 1.0))

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: 3 (752.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1985	996
done	5001	996

prune286.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b	(/ 1.0 (- x 1.0))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

17.0ms	(/ x (+ x 1.0))
87.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
159.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
30.0ms	(/ 1.0 (- x 1.0))

series511.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (+ x 1.0))
166.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
262.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
29.0ms	(/ 1.0 (- x 1.0))

simplify1.2s

Counts

135 → 135

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	209	1934
1	510	1750
2	1503	1636
done	5000	1634

prune413.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))
0.4b	(cbrt (/ 1.0 (- x 1.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

171×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
30×	`swap-sqr`
27×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
21×	`difference-of-squares`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 198

Calls

4 calls:

71.0ms	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
6.0ms	(cbrt (/ 1.0 (- x 1.0)))
6.0ms	(cbrt (/ 1.0 (- x 1.0)))
6.0ms	(cbrt (/ 1.0 (- x 1.0)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (/ 1.0 (- x 1.0))) (cbrt (/ 1.0 (- x 1.0))))
158.0ms	(cbrt (/ 1.0 (- x 1.0)))
180.0ms	(cbrt (/ 1.0 (- x 1.0)))
148.0ms	(cbrt (/ 1.0 (- x 1.0)))

simplify1.2s

Counts

210 → 210

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	271	3827
1	522	3533
2	1604	3373
done	5000	3243

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	29
1	16	29
done	16	29

end0.0ms

sample489.0ms

Algorithm

intervals

Results

364.0ms

8000×

body

valid